Triumphal arch and Golden Ratio

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Triumphal arch and Golden Ratio
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Describe the Triumphal arch

• It was decided to build after Napoleon won the
  victory in the battle of  Austerlitz
• Competed in three decades from 1806

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Describe the Triumphal arch

• The four sides of the door is decorated with
  embossed sculpture about the Revolution and glory
  of imperial government

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The Triumphal arch is golden ratio?

• 12 roads are the shape of radiation around a
  triumphal arch
• Is the Triumphal Arch beautiful with the golden
  ratio?

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The golden ratio in The Triumphal arch

• The Triumphal Arch is that width is about 45m,
  length is about 50m the ratio of width and length
  is 910
• The golden ratio is 11.6(0.61) so the Triumphal
  Arch is not the golden ratio
• But it is the partial golden ratio

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What is the golden ratio?

• a segment AB(1) is divided by point Pa segment
  AP x, a segment BP1-x
• Solve x which satisfy 1-x x x 1
• i.e. x2 1(1-x) is  a segment AB is
  divided by golden ratio with P
• Therefore 0.61 or 11.6 is the golden ratio  

B
A
P